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Finding the Third Proportional to 163,474 and 344,444

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Solution

The third proportional to 163,474 and 344,444 is: 725,752.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,474 : 344,444 = 344,444 : x
  2. Step 2: Convert to fraction form
    163,474/344,444 = 344,444/x
  3. Step 3: Cross multiply
    163,474x = 344,444 × 344,444
  4. Step 4: Simplify right side
    163,474x = 118,641,669,136
  5. Step 5: Solve for x
    x = 118,641,669,136/163,474
  6. Step 6: Final answer
    x = 725,752.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.